Is it possible to construct a triangle using segment lengths of 5, 8, and 2?
One of the basic rules about a triangle is that the sum of the lengths of ANY two sides has to be greater than the third. Since the sides have lengths 5,8 and 2, it will look like this:
*****.**
********
To determine whether it is possible to construct a triangle using segment lengths of 5, 8, and 2, we need to check if these lengths satisfy the triangle inequality theorem.
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's check if this condition is met for the given lengths:
1. Sum of the first two sides: 5 + 8 = 13.
2. Is 13 greater than the length of the third side? 13 > 2.
Since the sum of the first two sides (13) is greater than the length of the third side (2), the triangle inequality theorem is satisfied.
Therefore, it is possible to construct a triangle using segment lengths of 5, 8, and 2.